Non-Regge Terms in the Vector-Spinor Theory

Abstract

The vector-spinor theory is examined to find whether there are any Kronecker-delta terms in the angularmomentum plane or, in other words, to find whether all particles are on Regge trajectories. It had previously been shown in lowest-order perturbation theory that a remarkable cancellation resulted in the vanishing of the Kronecker-delta term from the spinor channel. This conclusion is re-established by general reasoning which is independent of perturbation theory. The channel with the quantum numbers of the vector particle is examined, and here there is no cancellation. The vector particle is not on a Regge trajectory. It is concluded that the absence of Kronecker-delta terms in the $j$ plane may still be used as a criterion for a "bootstrap" system.